Geodesic
A Note on Torsion Free Groups Generated by Pairs of Matrices
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 747-748

Voir la notice de l'article provenant de la source Cambridge University Press

Let and let Gm be the group generated by A and the transpose of A. The problem of determining complex numbers m such that Gm is a free group had been studied by several authors [1, 2, 3]. In this note we characterize those rational values of m for which Gm is torsion free. 
Charnow, A. A Note on Torsion Free Groups Generated by Pairs of Matrices. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 747-748. doi: 10.4153/CMB-1974-134-4
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[1] 1. Brenner, J. L., Quelques groupes libres de matrices, C. R. Acad. Sci. Paris 241 (1955), 1689- 1691. Google Scholar

[2] 2. Chang, B., Jennings, S. A., and Ree, R., On certain matrices which generate free groups, Can. J. Math. 10 (1958), 279–284. Google Scholar

[3] 3. Lyndon, R. C. and Ullman, J. L., Groups generated by two parabolic linear fractional transformations, Can. J. Math. 21 (1969), 1388–1403. Google Scholar

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